Sur les Suranneaux Minimaux. II

Abstract

This work includes a continuation of the survey that has been made on the minimal overrings by Oukessou and Miri (Oukessou, M., Miri, A. (1999). Sur les suranneaux minimaux. Extracta Mathematicae 14(3):333–347), we are going to examine the stability of the structures of pseudo valuation domain, S-Domain and catenarian ring. We will start this work with establishing some properties of the minimal overrings.